Cubature formulae for Besov classes
Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 259-283
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This paper is devoted to an investigation of optimal cubature formulae for Besov classes of functions with restrictions on the mixed difference. This study is a continuation of papers [1] and [2]. In this paper we find the exact order of the error of the cubature formula using the values of the function at particular points.
@article{IM2_1997_61_2_a1,
author = {V. V. Dubinin},
title = {Cubature formulae for {Besov} classes},
journal = {Izvestiya. Mathematics },
pages = {259--283},
publisher = {mathdoc},
volume = {61},
number = {2},
year = {1997},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a1/}
}
V. V. Dubinin. Cubature formulae for Besov classes. Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 259-283. http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a1/